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Finding the Third Proportional to 214,008 and 457,644

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Solution

The third proportional to 214,008 and 457,644 is: 978,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,008 : 457,644 = 457,644 : x
  2. Step 2: Convert to fraction form
    214,008/457,644 = 457,644/x
  3. Step 3: Cross multiply
    214,008x = 457,644 × 457,644
  4. Step 4: Simplify right side
    214,008x = 209,438,030,736
  5. Step 5: Solve for x
    x = 209,438,030,736/214,008
  6. Step 6: Final answer
    x = 978,645.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.